Average Error: 0.4 → 0.2
Time: 21.2s
Precision: 64
\[\frac{60.0 \cdot \left(x - y\right)}{z - t} + a \cdot 120.0\]
↓
\[\frac{60.0}{\frac{z - t}{x - y}} + a \cdot 120.0\]
\frac{60.0 \cdot \left(x - y\right)}{z - t} + a \cdot 120.0
↓
\frac{60.0}{\frac{z - t}{x - y}} + a \cdot 120.0
double f(double x, double y, double z, double t, double a) {
        double r43197624 = 60.0;
        double r43197625 = x;
        double r43197626 = y;
        double r43197627 = r43197625 - r43197626;
        double r43197628 = r43197624 * r43197627;
        double r43197629 = z;
        double r43197630 = t;
        double r43197631 = r43197629 - r43197630;
        double r43197632 = r43197628 / r43197631;
        double r43197633 = a;
        double r43197634 = 120.0;
        double r43197635 = r43197633 * r43197634;
        double r43197636 = r43197632 + r43197635;
        return r43197636;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r43197637 = 60.0;
        double r43197638 = z;
        double r43197639 = t;
        double r43197640 = r43197638 - r43197639;
        double r43197641 = x;
        double r43197642 = y;
        double r43197643 = r43197641 - r43197642;
        double r43197644 = r43197640 / r43197643;
        double r43197645 = r43197637 / r43197644;
        double r43197646 = a;
        double r43197647 = 120.0;
        double r43197648 = r43197646 * r43197647;
        double r43197649 = r43197645 + r43197648;
        return r43197649;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.4
Target0.2
Herbie0.2
\[\frac{60.0}{\frac{z - t}{x - y}} + a \cdot 120.0\]

Derivation

  1. Initial program 0.4

    \[\frac{60.0 \cdot \left(x - y\right)}{z - t} + a \cdot 120.0\]
  2. Using strategy rm

  3. Applied associate-/l*0.2

    \[\leadsto \color{blue}{\frac{60.0}{\frac{z - t}{x - y}}} + a \cdot 120.0\]

  4. Final simplification0.2

    \[\leadsto \frac{60.0}{\frac{z - t}{x - y}} + a \cdot 120.0\]

Reproduce

herbie shell --seed 2019163 +o rules:numerics
(FPCore (x y z t a)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, B"

  :herbie-target
  (+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))

  (+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0)))